Find the equation of the sphere in standard form that satisfies the given conditions. center C(−1, 5, 4) and radius 4

Q: Use sigma notation to write the Maclaurin series for the function. 9coshx 9. –1) (2k)!" 6. k=0 00 2k...

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Q: - 3x + y = 6 ax + 2y = 4 In the system of equations above, a is a constant. For which of the followi...

A: Given :-3x+y=6ax+2y=4

Q: f(x+h)-f(x) determine the derivative/ slope of tangent for = lim h→0 h -1 2x 5a) Using the formula M...

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Q: 14 2

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: Use sigma notation to write the Taylor series about x xo for the function. e; xo = 7 - 7)* k! e7 k! ...

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Q: (2 In sin x)3 15. S tan x

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Q: Let 5n + 14n b, = 3n2 a, = 3n-5n2 - 19' Calculate the limit. (Give an exact answer. Use symbolic not...

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Q: 1 dx -1 2x+3 a.

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Q: Consider two interconnected tanks. Tank 1 initially contains 55 gal of water and a oz of salt, and T...

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Q: I. Solve for the unknown/s. 1. x:4 = (2x + 3) = 12 2. (x+ 1): (2x + 3) = (x + 3)(2x + 8) 3. (3x – 1)...

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Q: Match the sequence with the given nth term with its graph. an = (-1)" an an 10 2- 8 1 ... 6. 4. 2 4 ...

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Q: Find the derivative of sin In x O sin(Inx)/x cos(Inx)/x O cos(1/x) O sin (1/x)

A: topic - derivative of a function

Q: people are sharing 6 pies how many do each person get

A: Here we have two people are sharing 6 pies how many do each person get.  

Q: Selecting 3 balls from a box containing 6 red balls and 4 blue balls. Combination Not Combination

A: We will find the given condition is a combination or not a combination in the following step.

Q: What integration technique can be used to integrate: tan x dx O Integration Formulas O Trigonometric...

A: Given ÷ Integrate tanx dx I=∫tanxdx  

Q: and X-2 = 9-2 -3 in tersect. 7) show that the lines Y-3 メ-2=4 %3D 2.

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Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = 6u3,u = 7x ...

A: To find dydx bu using Leibniz's notation for the chain rule: dydx=dydududxy=6u3, u=7x-4    

Q: If ƒ is continuous for a < x < b and differentiable for a < x < b , which of the following could be ...

A: Here, given that f is continuous for a≤x≤b and differentiable for a&lt;x&lt;b.

Q: 4. If cos 4A - -1/9, find cos A 5. If tan 4A - 24/7, find sec A

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 9n + n 8n -...

A: The given series is: ∑n=1∞9n+n8n-1 Let, an=9n+n8n-1, n≥1

Q: Find the solution of the differential equation that satisfies the given initial condition. dL dt = k...

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Q: Suppose f(x, y) = x² + 2æy+ y². Which field plot is Vf? Justify your answer. 鹿

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Q: Find the general solution of the following ordinary differential equation: d²y -6 = -9y+ 7e3* + 7 dx...

A: We have              y'' -6y' =-9y+7e3x+7⇒y'' -6y' +9y=7e3x+7 Here, the characteristic equation is m...

Q: A- Use the fixed point and Newton-Raphson methods to estimate the root of the function, employing to...

A: We have to find Root of the function by both methods. 

Q: J. E n=1 Vn 2.

A: p-test series for a series to be convergence ∑n=1∞1np will diverge if p≤1              will converge...

Q: 1 if x - 1 I-2

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Q: Graph the integrand and use known area formulas to evaluate the integral: dx

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Q: Evaluate the following indefinite integral using a table of integrals for a > 0. Use C for any const...

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Q: Let R be the region bounded by x = 5, y = 3x + 1, y =- 2x + 16. %3D %3D To find the volume of the so...

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Q: Find the equation of the tangent line to y = arctan(2x) when x = V3 O y - = ( - ) 1 3 O y - = }(2 - ...

A: Let's find. 

Q: To integrate v3 x2dy we apply integration by parts and in the form u dv, u is set as: 2 of 11

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Q: Find the coordinates of the point in the curve y = 12x – 2y + 23 that is nearest to the point P(10, ...

A: Given curve: y2=12x-2y+23 The point is  P10,4 To find: The coordinates of the point on the curve tha...

Q: 6e 4x -e-2x 9. lim x→-o 8e4x –e2x+3e-x

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Q: piecewise

A: Please refer to the image below

Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: Find dy/dx for: y = x2 − sec x + 1

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Q: 교-3 with n5+3 Write an inequlity comparing for n 2 1. n3 (Express numbers in exact form. Use symboli...

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Q: 5. lim e(ochr)

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Q: Find the magnitude of u x v and the unit vector parallel to u x v in the direction of u x v. u = 2 i...

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Q: 2 (1+ 9x)* (1+3) dx 3/7

A: Solving the problem by finding the value of the integration.

Q: In(5x-9) lim x2 x3-8

A: For the following limit problem,

Q: 2. A toy rocket is launched from a table 2 feet above the ground. The height of the rocket above the...

A: I am attaching image so that you understand each and every step.

Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) 5- 4 3 2 -1 -1 12 4 ...

A: From the given graph we can observe that it is rational function.The zero of the function is at x=1A...

Q: Let R be the region bounded by the inner loop of the limacon, r = 4/3+8 sin 0 as shown in the diagra...

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Q: differential equation. dy dt = y cos(3t + 2) y =   B)  Find the general solution to the differential...

A: Solving questions

Q: For the graph, calculate the following quantities.  1) y'(5) if y(x)=f(x)g(x) 2) y'(2) if y(x)=((f...

A: Given the graph 

Q: Determine whether the statement is true or false. The ratio test is often useful to determine conver...

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Q: C. Find i '(t). 1. ř (t) =

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Q: Differentiate the function. g(t) = In(5 + t“) g'(t): %3D

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Q: sin(In r) 5. Use the Squeeze Theorem to evaluate lim 1-40+ In (sin z)*

A: Solution is given below: